The Journal of the Australian Mathematical Society Series B Applied Mathematics · 1985 · 69 citations · 6 references
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisError EstimationFinite Element DiscretizationFinite Element FormulationHeat Transfer AnalysisNonlinear Finite Element AnalysisA Posteriori Error EstimatesGalerkin ApproximationGalerkin DiscretizationHeat EquationLumped Mass Matrix
Abstract For the heat equation in two space dimensions we consider semidiscrete and totally discrete variants of the lumped mass modification of the standard Galerkin method, using piecewise linear approximating functions, and demonstrate error estimates of optimal order in L 2 and of almost optimal order in L ∞ .
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